1. y=6
2. y=-12
Step-by-step explanation:
<u>1) If y varies inversely as x, and y=3 as x = -2, find y for the x value of -1.</u>
It is given that
y varies inversely as x
IT will be written as:
y∝1/x
Removing the proportionality symbol
y=k/x
Given
y=3 , x=-2
Putting the values
3=k/-2
k=3*-2 = -6
The equation will be:
y=-6/x
So,
When x=-1
<u>2) If y varies directly as x, and y=15 as x=-3, find y for the x value of 4</u>
y is directly proportional to x
y∝x
y=kx
Given
y=15, x=-3
Putting the values
Hence,
1. y=6
2. y=-12
Keywords: Proportion, Variation
Learn more about proportion at:
#LearnwithBrainly
Answer:
$56,226
Step-by-step explanation:
x = investment
Earning interest of 3.57% is the equivalent of multiplying the initial balance (investment) by 1.0357;
Over 20 years, the new balance can be found by multiplying the initial balance by (1.0357)²⁰;
We can formulate an equation to solve to get the initial investment:
x(1.0357)²⁰ = 113400
(2.01687752)x = 113400
x = ¹¹³⁴⁰⁰/₍₂.₀₁₆...₎
x = 56225.5263 → 56226
If the price of an item has been reduced by 65%, that means that it used to be 35% higher, and that is the number we have to use in the equation. Here it is:
x - price
35% - how much it got discounted
60 - new price
100% - total percentage
x : 35 = 60 : 100
100x = 60*35 (crossover multiplication)
100x = 2100
x = 2100 / 100
x = 21
The price of the item now is 21$.
Or you can do it this way:
65% of $60 = 0.65 of 60 = 39; 60 - 39 (how much it was discounted) = 21 (the new price)
=gradient
Perpendicular gradient therefore is
With this info, y-y1=m(x-x1)
5(y-8)=-1(x-6)
5y-40=-x+6
5y=-x+46
